In the first three innings of a baseball game, the home team scored some runs. And the rest of the game, they scored five runs more than the number of runs scored in the first three innings. If the home team scored nine runs in all, how many runs did they scored during the first three innings? how many runs did they score in the remainder of the game? Let x equals the runs scored in the first three
innings.

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?